# Prime factorization of $4244$

The calculator will find the prime factorization of $4244$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $4244$.

### Solution

Start with the number $2$.

Determine whether $4244$ is divisible by $2$.

It is divisible, thus, divide $4244$ by ${\color{green}2}$: $\frac{4244}{2} = {\color{red}2122}$.

Determine whether $2122$ is divisible by $2$.

It is divisible, thus, divide $2122$ by ${\color{green}2}$: $\frac{2122}{2} = {\color{red}1061}$.

The prime number ${\color{green}1061}$ has no other factors then $1$ and ${\color{green}1061}$: $\frac{1061}{1061} = {\color{red}1}$.

Since we have obtained $1$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $4244 = 2^{2} \cdot 1061$.

The prime factorization is $4244 = 2^{2} \cdot 1061$A.